On the Hilbert space of supersymmetric quantum systems

M. A. Shifman; A. V. Smilga; A. I. Vainshtein

doi:10.1016/0550-3213(88)90467-1

On the Hilbert space of supersymmetric quantum systems

M. A. Shifman, A. V. Smilga, A. I. Vainshtein

Physics and Astronomy (Twin Cities)

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

We show that in some quantum-mechanical models the consequences of supersymmetry take place only provided certain additional conditions are imposed on the wave functions. If this fact is not taken into account one may encounter paradoxes. We discuss in particular the question of the fermion condensate in the (reduced) σ model and supersymmetric gauge theories.

Original language	English (US)
Pages (from-to)	79-90
Number of pages	12
Journal	Nuclear Physics, Section B
Volume	299
Issue number	1
DOIs	https://doi.org/10.1016/0550-3213(88)90467-1
State	Published - Mar 28 1988

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abstract = "We show that in some quantum-mechanical models the consequences of supersymmetry take place only provided certain additional conditions are imposed on the wave functions. If this fact is not taken into account one may encounter paradoxes. We discuss in particular the question of the fermion condensate in the (reduced) σ model and supersymmetric gauge theories.",

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AU - Vainshtein, A. I.

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AB - We show that in some quantum-mechanical models the consequences of supersymmetry take place only provided certain additional conditions are imposed on the wave functions. If this fact is not taken into account one may encounter paradoxes. We discuss in particular the question of the fermion condensate in the (reduced) σ model and supersymmetric gauge theories.

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On the Hilbert space of supersymmetric quantum systems

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